Abstract
Recent results on the design of material properties in the context
of global structural optimization provide, in analytical form, a
prediction of the optimal material tensor distributions for two or
three dimensional continuum structures. The model developed for
that purpose is extended here to cover the design of a structure
and associated material properties for a system composed of a
generic form of nonlinear softening material. As was established
in the earlier study on design with linear materials, the
formulation for combined 'material and structure' design with
softening materials can be expressed as a convex problem. However,
the optimal distribution of material properties predicted in the
nonlinear problem depends on the magnitude of load, in contrast to
the case with linear material. Computational solutions are
presented for several example problems, showing how the optimal
designs vary with different values assigned to data that fix the
load and material parameters.
Original language | English |
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Journal | International Journal of Solids and Structures |
Volume | 33 |
Issue number | 12 |
Pages (from-to) | 1799-1813 |
ISSN | 0020-7683 |
DOIs | |
Publication status | Published - 1996 |